Three mass-spring systems, each with an identical spring (same stiffness, k) are placed on three different...

  

Transcribed Image Text:

Three mass-spring systems, each with an identical spring (same stiffness, k) are placed on three different tables where they experience different levels of friction. They undergo damped simple harmonic motion as shown by the three displacement-time graphs. (a) Rank the ratio of their damping constant and mass (b/m) from largest to smallest. Explain your reasoning! (b) Determine the approximate value of the ratio b/m for oscillator number 3 s-1 (c) Rank the total energies of these three oscillators at the moment where they have completed three periods. Explain your reasoning! x (m) 0.5 -0.5 m 2 t (s) 1 0.5 -0.5 w? 2 t (s) 2 3 (w) x 0.5 -0.5 ww 2 1 (s) 3 3 Three mass-spring systems, each with an identical spring (same stiffness, k) are placed on three different tables where they experience different levels of friction. They undergo damped simple harmonic motion as shown by the three displacement-time graphs. (a) Rank the ratio of their damping constant and mass (b/m) from largest to smallest. Explain your reasoning! (b) Determine the approximate value of the ratio b/m for oscillator number 3 s-1 (c) Rank the total energies of these three oscillators at the moment where they have completed three periods. Explain your reasoning! x (m) 0.5 -0.5 m 2 t (s) 1 0.5 -0.5 w? 2 t (s) 2 3 (w) x 0.5 -0.5 ww 2 1 (s) 3 3